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Finding the Fourth Proportional to 186,378, 279,569.16 and 46,137.84

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Solution

The fourth proportional to 186,378, 279,569.16 and 46,137.84 is: 69,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,378 : 279,569.16 = 46,137.84 : x
  2. Step 2: Convert to fraction form
    186,378/279,569.16 = 46,137.84/x
  3. Step 3: Cross multiply
    186,378x = 279,569.16 × 46,137.84
  4. Step 4: Simplify right side
    186,378x = 12,898,717,173.01
  5. Step 5: Solve for x
    x = 12,898,717,173.01/186,378
  6. Step 6: Final answer
    x = 69,207.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.